1311567012 has 192 divisors, whose sum is σ = 3989260800. Its totient is φ = 364953600.

The previous prime is 1311566989. The next prime is 1311567077. The reversal of 1311567012 is 2107651131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6795588 + ... + 6795780.

It is an arithmetic number, because the mean of its divisors is an integer number (20777400).

Almost surely, 2^1311567012 is an apocalyptic number.

1311567012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311567012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994630400).

1311567012 is an abundant number, since it is smaller than the sum of its proper divisors (2677693788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311567012 is a wasteful number, since it uses less digits than its factorization.

1311567012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1311567012 is about 36215.5631186373. The cubic root of 1311567012 is about 1094.6202924405.

The spelling of 1311567012 in words is "one billion, three hundred eleven million, five hundred sixty-seven thousand, twelve".